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Finding the Fourth Proportional to 120,959.92, 181,419.40 and 36,699.76

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Solution

The fourth proportional to 120,959.92, 181,419.40 and 36,699.76 is: 55,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,959.92 : 181,419.40 = 36,699.76 : x
  2. Step 2: Convert to fraction form
    120,959.92/181,419.40 = 36,699.76/x
  3. Step 3: Cross multiply
    120,959.92x = 181,419.40 × 36,699.76
  4. Step 4: Simplify right side
    120,959.92x = 6,658,048,687.10
  5. Step 5: Solve for x
    x = 6,658,048,687.10/120,959.92
  6. Step 6: Final answer
    x = 55,043.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.